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For a real constant
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
For a real constant
k
k
k
, let
F
(
x
)
=
∫
(
3
x
2
+
k
)
d
x
F(x)=\int (3x^{2}+k)\,dx
F
(
x
)
=
∫
(
3
x
2
+
k
)
d
x
. Given that
F
(
0
)
=
4
F(0)=4
F
(
0
)
=
4
and
F
(
1
)
=
10
F(1)=10
F
(
1
)
=
10
, find the value of
k
k
k
. (a)
4
4
4
(b)
5
5
5
(c)
9
9
9
(d)
3
3
3
Related theory
Antiderivatives
Standard algebraic integrals
Integration as inverse process of differentiation
Integrals
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